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155134100 = 225211212821
BaseRepresentation
bin10010011111100…
…10100010010100
3101210220121222102
421033302202110
5304203242400
623221021232
73562422002
oct1117624224
9353817872
10155134100
117a629600
1243b54818
13261a8a34
1416863a72
15d9459d5
hex93f2894

155134100 has 54 divisors (see below), whose sum is σ = 370055742. Its totient is φ = 56408000.

The previous prime is 155134099. The next prime is 155134139. The reversal of 155134100 is 1431551.

It can be written as a sum of positive squares in 3 ways, for example, as 81796 + 155052304 = 286^2 + 12452^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5690 + ... + 18510.

Almost surely, 2155134100 is an apocalyptic number.

155134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185027871).

155134100 is an abundant number, since it is smaller than the sum of its proper divisors (214921642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155134100 is a wasteful number, since it uses less digits than its factorization.

155134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12857 (or 12839 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 155134100 is about 12455.2840192426. The cubic root of 155134100 is about 537.3234033156.

Adding to 155134100 its reverse (1431551), we get a palindrome (156565651).

The spelling of 155134100 in words is "one hundred fifty-five million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 12821 25642 51284 64105 128210 141031 256420 282062 320525 564124 641050 705155 1282100 1410310 1551341 2820620 3102682 3525775 6205364 7051550 7756705 14103100 15513410 31026820 38783525 77567050 155134100